(Non) supersymmetric quantum quenches

We explore supersymmetric quantum quenches of the mass and coupling constants in the N = 1 supersymmetric vector model using Hartree-Fock approximation. We find that in the case of the free fermionic field, quench of the mass generates singularity localized at the instant of sudden change and we point out the essential role of the parity of spacetime. Focusing on a supersymmetric generalization of the φ⁶ model and using stationary phase approximation, we demonstrate that supersymmetry is broken in the asymptotic state that emerges at late times after the quench. Finally, we confirm SUSY breaking in the time-dependent setting by integrating numerically the exact equations of motion from the instant of the quench into asymptotic regime. The breaking of supersymmetry cannot be directly attributed to the thermal physics since to leading order in the Hartree-Fock approximation the model is integrable and therefore thermalization does not occur.